138219913728000
138,219,913,728,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138219913728000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4160 divisors.
138219913728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, one hundred sixty divisors.
Prime factorization of 138219913728000:
212 × 34 × 53 × 133 × 37 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 37 × 41)See below for interesting mathematical facts about the number 138219913728000 from the Numbermatics database.
Names of 138219913728000
- Cardinal: 138219913728000 can be written as One hundred thirty-eight trillion, two hundred nineteen billion, nine hundred thirteen million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38219913728 × 1014
Factors of 138219913728000
Divisors of 138219913728000
- Number of divisors d(n): 4160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 37 39 40 41 45 48 50 52 54 60 64 65 72 74 75 78 80 81 82 90 96 100 104 108 111 117 120 123 125 128 130 135 144 148 150 156 160 162 164 169 180 185 192 195 200 205 208 216 222 225 234 240 246 250 256 260 270 288 296 300 312 320 324 325 328 333 338 351 360 369 370 375 384 390 400 405 410 416 432 444 450 468 480 481 492 500 507 512 520 533 540 555 576 585 592 600 615 624 640 648 650 656 666 675 676 702 720 738 740 750 768 780 800 810 820 832 845 864 888 900 925 936 960 962 975 984 999 1000 1014 1024 1025 1040 1053 1066 1080 1107 1110 1125 1152 1170 1184 1200 1230 1248 1280 1296 1300 1312 1332 1350 1352 1404 1440 1443 1476 1480 1500 1517 1521 1536 1560 1599 1600 1620 1625 1640 1664 1665 1690 1728 1755 1776 1800 1845 1850 1872 1920 1924 1950 1968 1998 2000 2025 2028 2048 2050 2080 2106 2132 2160 2197 2214 2220 2250 2304 2340 2368 2400 2405 2460 2496 2535 2560 2592 2600 2624 2664 2665 2700 2704 2775 2808 2880 2886 2925 2952 2960 2997 3000 3034 3042 3072 3075 3120 3198 3200 3240 3250 3280 3321 3328 3330 3375 3380 3456 3510 3552 3600 3690 3700 3744 3840 3848 3900 3936 3996 4000 4050 4056 4096 4100 4160 4212 4225 4264 4320 4329 4394 4428 4440 4500 4551 4563 4608 4625 4680 4736 4797 4800 4810 4875 4920 4992 4995 5070 5120 5125 5184 5200 5248 5265 5328 5330 5400 5408 5535 5550 5616 5760 5772 5850 5904 5920 5994 6000 6068 6084 6144 6150 6240 6253 6396 6400 6480 6500 6560 6591 6642 6656 6660 6750 6760 6912 6929 7020 7104 7200 7215 7380 7400 7488 7585 7605 7680 7696 7800 7872 7992 7995 8000 8100 8112 8200 8320 8325 8424 8450 8528 8640 8658 8775 8788 8856 8880 9000 9102 9126 9216 9225 9250 9360 9472 9594 9600 9620 9750 9840 9984 9990 10125 10140 10240 10250 10368 10400 10496 10530 10656 10660 10800 10816 10985 11070 11100 11232 11520 11544 11700 11808 11840 11988 12000 12025 12136 12168 12288 12300 12480 12506 12675 12792 12800 12960 12987 13000 13120 13182 13284 13312 13320 13325 13500 13520 13653 13689 13824 13858 13875 14040 14208 14391 14400 14430 14625 14760 14800 14976 14985 15170 15210 15360 15375 15392 15600 15744 15984 15990 16000 16200 16224 16400 16605 16640 16650 16848 16900 17056 17280 17316 17550 17576 17712 17760 18000 18204 18252 18432 18450 18500 18720 18759 18944 19188 19200 19240 19500 19680 19721 19773 19968 19980 20250 20280 20480 20500 20736 20787 20800 20992 21060 21125 21312 21320 21600 21632 21645 21970 22140 22200 22464 22755 22815 23040 23088 23400 23616 23680 23976 23985 24000 24050 24272 24336 24600 24960 24975 25012 25350 25584 25600 25920 25974 26000 26240 26325 26364 26568 26624 26640 26650 27000 27040 27306 27378 27648 27675 27716 27750 28080 28416 28782 28800 28860 29250 29520 29600 29952 29970 30340 30420 30720 30750 30784 31200 31265 31488 31968 31980 32000 32400 32448 32800 32955 33210 33280 33300 33696 33800 34112 34560 34632 34645 35100 35152 35424 35520 36000 36075 36408 36504 36864 36900 37000 37440 37518 37888 37925 38025 38376 38400 38480 38961 39000 39360 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1151832614400 1181366784000 1245224448000 1279814016000 1329037632000 1382199137280 1439790768000 1535776819200 1685608704000 1706418688000 1727748921600 1772050176000 1842932183040 1867836672000 1919721024000 2126460211200 2159686152000 2303665228800 2559628032000 2658075264000 2764398274560 2879581536000 3071553638400 3371217408000 3455497843200 3544100352000 3735673344000 3839442048000 4319372304000 4607330457600 5119256064000 5316150528000 5528796549120 5759163072000 6910995686400 7678884096000 8638744608000 9214660915200 10632301056000 11518326144000 13821991372800 15357768192000 17277489216000 23036652288000 27643982745600 34554978432000 46073304576000 69109956864000 138219913728000
- Sum of all divisors σ(n): 587295588559680
- Sum of proper divisors (its aliquot sum) s(n): 449075674831680
- 138219913728000 is an abundant number, because the sum of its proper divisors (449075674831680) is greater than itself. Its abundance is 310855761103680
Bases of 138219913728000
- Binary: 111110110110101110101001101101111010000000000002
- Hexadecimal: 0x7DB5D4DBD000
- Base-36: 1CZTCNWG00
Squares and roots of 138219913728000
- 138219913728000 squared (1382199137280002) is 19104744550975762857984000000
- 138219913728000 cubed (1382199137280003) is 2640656143631348040449535196004352000000000
-
The
square root of 138219913728000 is 11756696.5482655883 -
The
cube root of 138219913728000 is 51703.9281245795
Scales and comparisons
How big is 138219913728000?- 138,219,913,728,000 seconds is equal to 4,394,965 years, 37 weeks, 1 day.
-
To count from 1 to 138,219,913,728,000 would take you about ten million, nine hundred eighty-seven thousand, four hundred fourteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138219913728000 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138219913728000
- 138219913728000 backwards is 000827319912831
- 138219913728000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138219913728000's digits is 54
- More coming soon!
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MLA style:
"Number 138219913728000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 138219913728000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/138219913728000/
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The information we have on file for 138219913728000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138219913728000, math, Factors of 138219913728000, curriculum, school, college, exams, university, Prime factorization of 138219913728000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred nineteen billion, nine hundred thirteen million, seven hundred twenty-eight thousand.